In a playground there is a small merry-go-round of mass 176kg and radius 1.22m that is not moving. The radius of gyration is 91.6cm. A girl of mass 44.3kg runs at a speed of 2.92 m/s tangent to the rim of the merry-go-round and jumps on it. Neglect friction between the bearings and the shaft of the merry-go-round and find the angular speed of the merry-go-round and girl.

Avery long solenoid of inner radius 2.75 cm creates an oscillating magnetic field of the form = for this solenoid, =0.00425 t and =319 rad/s. (a)what is the maximum value of the induced electric field at a perpendicular distance 1.45 cm from the axis of the solenoid? (b) what is the maximum value of the inducted electric field at a point 5.85 cm perpendicular from the axis of the solenoid?

Madison pushes with a 210-n horizontal force on a 24-kg crate of coffee resting on a warehouse floor. the force of friction on the crate is 74 n. what is the acceleration?

6–43 a food department is kept at 2128c by a refrigerator in an environment at 308c. the total heat gain to the food department is estimated to be 3300 kj/h and the heat rejection in the condenser is 4800 kj/h. determine the power input to the compressor, in kw and the cop of the refrigerator.